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Finding the Fourth Proportional to 6,498.63, 8,972.46 and 4,376.52

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Solution

The fourth proportional to 6,498.63, 8,972.46 and 4,376.52 is: 6,042.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.63 : 8,972.46 = 4,376.52 : x
  2. Step 2: Convert to fraction form
    6,498.63/8,972.46 = 4,376.52/x
  3. Step 3: Cross multiply
    6,498.63x = 8,972.46 × 4,376.52
  4. Step 4: Simplify right side
    6,498.63x = 39,268,150.64
  5. Step 5: Solve for x
    x = 39,268,150.64/6,498.63
  6. Step 6: Final answer
    x = 6,042.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.